Linear Transformations and Matrices
... In Section 3.1 we defined matrices by systems of linear equations, and in Section 3.6 we showed that the set of all matrices over a field F may be endowed with certain algebraic properties such as addition and multiplication. In this chapter we present another approach to defining matrices, and we w ...
... In Section 3.1 we defined matrices by systems of linear equations, and in Section 3.6 we showed that the set of all matrices over a field F may be endowed with certain algebraic properties such as addition and multiplication. In this chapter we present another approach to defining matrices, and we w ...
Pdf - Text of NPTEL IIT Video Lectures
... So if I have the point P(x, y) which goes to P prime having the coordinates as (x prime y prime) then what I am saying is that X prime is actually X plus some offset in X which is given by tx and Y prime is y plus the offset displacement in y which is given by ty. So in other words when I look at as ...
... So if I have the point P(x, y) which goes to P prime having the coordinates as (x prime y prime) then what I am saying is that X prime is actually X plus some offset in X which is given by tx and Y prime is y plus the offset displacement in y which is given by ty. So in other words when I look at as ...
Chapter 2 - UCLA Vision Lab
... preserves distances but not orientations. It corresponds to a reflection of points in the XY -plane as a double-sided mirror. To rule out this kind of maps, 8 we require that any rigid-body motion, besides preserving distances, preserves orientations as well. That is, in addition to preserving the n ...
... preserves distances but not orientations. It corresponds to a reflection of points in the XY -plane as a double-sided mirror. To rule out this kind of maps, 8 we require that any rigid-body motion, besides preserving distances, preserves orientations as well. That is, in addition to preserving the n ...
